GCD of 172, 132, 158, 362 Calculator

Given Input numbers are 172, 132, 158, 362

In the factoring method, we have to find the divisors of all numbers

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 158 :

The positive integer divisors of 158 that completely divides 158 are.

1, 2, 79, 158

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (172, 132, 158, 362) = 2.

Given numbers are 172, 132, 158, 362

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 158 are 2 x 79

Prime factors of 362 are 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 172, 132, 158, 362 is 2.

Given numbers are 172, 132, 158, 362

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(172, 132) = 5676

GCD(172, 132) = ( 172 x 132 ) / 5676

= 172 / 132

= 172

Step2:

LCM(4, 158) = 316

GCD(4, 158) = ( 4 x 158 ) / 316

= 4 / 158

= 4

Step3:

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

= 2 / 362

= 2

So, Greatest Common Divisor of 172, 132, 158, 362 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 214, 883, 166
• GCD of 448, 861, 509, 563
• GCD of 832, 950, 511, 920
• GCD of 962, 953, 999, 507
• GCD of 529, 694, 995, 687

Given numbers are 172, 132, 158, 362
The greatest common divisor of numbers 172, 132, 158, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 132, 158, 362 is 2.

1. What is the GCD of 172, 132, 158, 362?

GCD of given numbers 172, 132, 158, 362 is 2

2. How to calculate the greatest common divisor of 172, 132, 158, 362?

We can find the highest common divisor of 172, 132, 158, 362 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 172, 132, 158, 362 i.e 2.

3. How can I use the GCD of 172, 132, 158, 362Calculator?

Out the numbers 172, 132, 158, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.